Linear Algebra I  & Math. Tutorial 1b 
(G30 Program, Nagoya University, Fall 2023) 

• This is the page for the course Linear Algebra I and the Math. Tutorial 1b in the G30 Program in Fall 2023.
• Make sure that you join the NUCT course for this class.
• If you have any questions on this course, please feel free to contact me at any time via email. 

​Materials​

• Lecture notes: coming soon
• Course information (coming soon)
• Homework: coming soon
  
  

​Additional materials from previous years

• Lecture notes (Fall 2020): Lecture 1, Lecture 2, Lecture 3, Lecture 4, Lecture 5, Lecture 6, Lecture 7, Lecture 8, Lecture 9, Lecture 10, Lecture 11, Lecture 12, Lecture 13
• Videos (Fall 2020): Lecture 1, Lecture 2 , Lecture 3, Lecture 4, Lecture 5, Lecture 6, Lecture 7, Lecture 8, Lecture 9, Lecture 10, Lecture 11, Lecture 12, Lecture 13​
• Some Japanese Linear Algebra words​
  ​

Grading & Homework submission:
See Course information.

Course schedule: 
Lecture:

• Time: Friday 3rd period (13:00 - 14:30).
• Place: C15 (ILAS Main building)
  
  

Tutorial:

• Time: Tuesday first half of 3rd period (13:00 -13:45).
  From 13:45 - 14:30, there will be Tutorial 1a (Calculus I). 
• Room: A408 (Science Building A) 
  ​

The following gives a tentative overview of the topics we will cover each week. 
Week 01 (10/02-10/08): ​Introduction & Linear systems 
Week 02 (10/09-10/15): Matrices and vectors 
Week 03 (10/16-10/22): Sets and functions
Week 04 (10/23-10/29): Linear maps
Week 05 (10/30-11/05): - No lecture on 3rd November (文化の日, culture day) - 
Week 06 (11/06-11/12): Linear maps in geometry
Week 07 (11/13-11/19): Midterm Exam (17th November 2023, 10:30)
-- Matrix multiplication (Lecture on Saturday November 18th, make-up day for 3rd November) --
Week 08 (11/20-11/26): The inverse of a linear map
Week 09 (11/27-12/03): Subspaces, Kernel & Image 
Week 10 (12/04-12/10): Subspaces, Kernel & Image II
Week 11 (12/11-12/17): Linear independence & Bases I 
Week 12 (12/18-12/24): Bases II & Dimension 
Week 13 (12/25-12/31): 🎅🎄 26th December: Christmath challenge 2023 in the Tutorial 🎄🎅
☃️ Winter Vacation (12/28-01/09) ☃️ 
Week 14 (01/08-01/14): Coordinates & Orthogonal bases  (Lecture on Wednesday 3rd January)
Week 15 (01/15-01/21): Orthogonal bases & The Gram-Schmidt algorithm
Week 16 (01/22-01/28): Orthogonal projection, Least square approximation 
Week 17 (01/29-02/06): Final Exam (2nd February 2024, 10:30) 

Last update: 23rd September 2023